Q: What are the prime factors of the number 335,841,818?

 A: 2, 13, 131, 151, 653

Why are those the prime factors of the number 335,841,818?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 335,841,818

335,841,818
Factor Arrows
2167,920,909
Factor Arrows
1312,916,993
Factor Arrows
13198,603
Factor Arrows
151653

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 13, 131, 151, 653

We can check our work by multiplying all of the prime factors together: 2 x 13 x 131 x 151 x 653 = 335,841,818

This can also be written as 21 x 131 x 1311 x 1511 x 6531 = 335,841,818

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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